%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET676+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:12:26 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET676+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:32:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ilf_type(cross_product(B,C),relation_type(B,C)) ) )) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,axiom,(
% 0.10/0.41 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( ilf_type(C,identity_relation_of_type(B))<=> ilf_type(C,relation_type(B,B)) ) ) )) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f19,axiom,(
% 0.10/0.41 (! [B] : ilf_type(B,set_type) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f20,conjecture,(
% 0.10/0.41 (! [B] :( ilf_type(B,set_type)=> ilf_type(cross_product(B,B),identity_relation_of_type(B)) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f21,negated_conjecture,(
% 0.10/0.41 ~((! [B] :( ilf_type(B,set_type)=> ilf_type(cross_product(B,B),identity_relation_of_type(B)) ) ))),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f20])).
% 0.10/0.41 fof(f22,plain,(
% 0.10/0.41 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|ilf_type(cross_product(B,C),relation_type(B,C)))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.10/0.41 fof(f23,plain,(
% 0.10/0.41 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|ilf_type(cross_product(X0,X1),relation_type(X0,X1)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.41 fof(f35,plain,(
% 0.10/0.41 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(ilf_type(C,identity_relation_of_type(B))<=>ilf_type(C,relation_type(B,B))))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f36,plain,(
% 0.10/0.41 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~ilf_type(C,identity_relation_of_type(B))|ilf_type(C,relation_type(B,B)))&(ilf_type(C,identity_relation_of_type(B))|~ilf_type(C,relation_type(B,B)))))))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f35])).
% 0.10/0.41 fof(f38,plain,(
% 0.10/0.41 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|ilf_type(X1,identity_relation_of_type(X0))|~ilf_type(X1,relation_type(X0,X0)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.10/0.41 fof(f93,plain,(
% 0.10/0.41 ![X0]: (ilf_type(X0,set_type))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.41 fof(f94,plain,(
% 0.10/0.41 (?[B]: (ilf_type(B,set_type)&~ilf_type(cross_product(B,B),identity_relation_of_type(B))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.10/0.41 fof(f95,plain,(
% 0.10/0.41 (ilf_type(sK11_skl,set_type)&~ilf_type(cross_product(sK11_skl,sK11_skl),identity_relation_of_type(sK11_skl)))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(B,sK11_skl)],[f94])).
% 0.10/0.41 fof(f97,plain,(
% 0.10/0.41 ~ilf_type(cross_product(sK11_skl,sK11_skl),identity_relation_of_type(sK11_skl))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f95])).
% 0.10/0.41 fof(f101,plain,(
% 0.10/0.41 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X0,identity_relation_of_type(X1))|~ilf_type(X0,relation_type(X1,X1)))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f38,f93])).
% 0.10/0.41 fof(f102,plain,(
% 0.10/0.41 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(cross_product(X1,X0),relation_type(X1,X0)))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f23,f93])).
% 0.10/0.41 fof(f103,plain,(
% 0.10/0.41 ![X0,X1]: (ilf_type(cross_product(X0,X1),relation_type(X0,X1)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f102,f93])).
% 0.10/0.41 fof(f104,plain,(
% 0.10/0.41 ![X0]: (~ilf_type(cross_product(X0,X0),set_type)|ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f103,f101])).
% 0.10/0.41 fof(f105,plain,(
% 0.10/0.41 ![X0]: (ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f104,f93])).
% 0.10/0.41 fof(f107,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(backward_subsumption_resolution,[status(thm)],[f97,f105])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.050924 seconds
% 0.10/0.43 % CPU time: 0.138832 seconds
% 0.10/0.43 % Total memory used: 66.340 MB
% 0.10/0.43 % Net memory used: 66.117 MB
%------------------------------------------------------------------------------